@TechReport{iza:izadps:dp12701, author={Rablen, Matthew D.}, title={Foundations of the Rank-Dependent Probability Weighting Function}, year={2019}, month={Oct}, institution={Institute of Labor Economics (IZA)}, address={Bonn}, type={IZA Discussion Paper}, number={12701}, url={https://www.iza.org/publications/dp12701}, abstract={The psychological basis for rank-dependent probability weighting, and for an inverse-S probability weighting function (PWF) in particular, has often been questioned. I examine the existence and shape of the PWF in a model allowing for optimism/pessimism over probability distributions and for loss averse/gain loving stochastic reference dependence. I give commonly observed shapes of PWF a psychological interpretation. In particular, I establish a deep connection between two of the most established phenomena in decisionmaking: loss aversion and the inverse-S PWF: the former is a pre- condition for the latter.}, keywords={probability weighting;rank dependent expected utility;loss aversion;reference dependence;optimism;pessimism}, }